1000022100012 has 192 divisors, whose sum is σ = 2844608995200. Its totient is φ = 305733782016.

The previous prime is 1000022099971. The next prime is 1000022100013. The reversal of 1000022100012 is 2100012200001.

1000022100012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000022099967 and 1000022100003.

It is not an unprimeable number, because it can be changed into a prime (1000022100013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17826664 + ... + 17882672.

It is an arithmetic number, because the mean of its divisors is an integer number (14815671850).

Almost surely, 2^{1000022100012} is an apocalyptic number.

1000022100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000022100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422304497600).

1000022100012 is an abundant number, since it is smaller than the sum of its proper divisors (1844586895188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000022100012 is a wasteful number, since it uses less digits than its factorization.

1000022100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56204 (or 56184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000022100012 its reverse (2100012200001), we get a palindrome (3100034300013).

The spelling of 1000022100012 in words is "one trillion, twenty-two million, one hundred thousand, twelve".